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Finding the Fourth Proportional to 6,056.38, 9,086.70 and 1,897.42

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Solution

The fourth proportional to 6,056.38, 9,086.70 and 1,897.42 is: 2,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056.38 : 9,086.70 = 1,897.42 : x
  2. Step 2: Convert to fraction form
    6,056.38/9,086.70 = 1,897.42/x
  3. Step 3: Cross multiply
    6,056.38x = 9,086.70 × 1,897.42
  4. Step 4: Simplify right side
    6,056.38x = 17,241,286.31
  5. Step 5: Solve for x
    x = 17,241,286.31/6,056.38
  6. Step 6: Final answer
    x = 2,846.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.